Pith Number

pith:LJNXTCAW

pith:1997:LJNXTCAW7D55IY2Q5WIWKKDXZP

not attested not anchored not stored refs pending

Weak type estimates and Cotlar inequalities for Calder\'{o}n-Zygmund operators in nonhomogeneous spaces

Alexander Volberg, Fedor Nazarov, Sergei Treil

arxiv:math/9711210 v1 · 1997-11-24 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJNXTCAW7D55IY2Q5WIWKKDXZP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:34.651748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5b798816f8fbd46350ed91652877cbcfdc4d7ce2412ab84629679e7d59e999

Aliases

arxiv: math/9711210 · arxiv_version: math/9711210v1 · doi: 10.48550/arxiv.math/9711210 · pith_short_12: LJNXTCAW7D55 · pith_short_16: LJNXTCAW7D55IY2Q · pith_short_8: LJNXTCAW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJNXTCAW7D55IY2Q5WIWKKDXZP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5a5b798816f8fbd46350ed91652877cbcfdc4d7ce2412ab84629679e7d59e999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704f483913b90d61ffbadee094e08734ee7a1ad08e67ebc5bcc241be4c2925f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-11-24T00:00:00Z",
    "title_canon_sha256": "a036d894cff2187b547009bef08eeb041d880f0b0ea3c32fe13d5c4a0e8e3721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9711210",
    "kind": "arxiv",
    "version": 1
  }
}